INDEX 451
Orbit of a point under the action of a Quasi-nilpotent element in a Banach alge-
monoid: 12.15, prob. 11
Orbit space: 12.10
Orthogonal projector: 15.5
Orthornormal sequence of functions: 13.11,.
prob.7
Outer measure of a set: 13.5
bra: 15.3, prob. 5
Quasi-regular point (for a measure preserv-
ing transformation): 13.11, prob. 11
Quasi-representative measure: 15.3, prob. 9
Quotient group: 12.12
Packing (G-): 14.1, prob. 6
j?-adic integers: 12.9, prob. 4
,p-adic numbers: 14.3, prob. 6
p-adic solenoid: 12.9, prob. 4
Parallelotope: 14.3
Partition of unity: 12.6
Patching condition: 12.2
Patching together of topological spaces:
12.2
Plancherel-Godement theorem: 15,9
Poincar6's recurrence theorem: 13.9, prob.
11
Point-spectrum: 15.12
Polar decomposition of an operator: 15.11,
prob. 6
Positive hermitian operator: 15.13, prob. 14
Positive linear form on an algebra with
involution: 15.6
Positive measure: 13.2
Positive self-adjoint operator: 15.11
Potential: 13.13, prob. 2
Principle of domination: 13.13, prob. 2
Product group: 12.8
Product measure: 13.21 and 13.21, prob. 9
Product space, topology: 12.5 and 12.5,
prob. 3
Product of topological vector spaces: 12.13
Proper mapping: 12.7, prob. 2
Properly (group acting): 12.10, prob. 1
Pseudo-distance: 12,4
Pure potential: 13.13, prob. 2
Quadrable set: 13.9, prob. 7
Quasi-ergodic set (with respect to an
ergodic measure): 13.11, prob. 11
Quasi-invariant measure on a locally com-
pact group: 14.3, prob. 4
Rademacher functions: 13.21, prob. 10
Rademacher-Kolmogoroff theorem: 13.21,
prob. 12
Rademacher-Menchoff theorem: 13.11,
prob. 8
Radical of an algebra: 15.2, prob. 7
Real measure: 13.2
Real-valued function: 12.7
Reducible indempotent: 15.8
Regular point (for a measure-preserving
transformation): 13.11, prob. 11
Regular value of an element of a normed
algebra: 15.2
Regularization of a function or a measure:
14.11
Relative minimum of a function: 12.7
Relatively invariant measure: 14.4, prob. 1
Representation of an algebra with involu-
tion: 15.5
Representative measure: 15.3, prob. 9
Residual spectrum: 15.12
Restriction of a measure: 13.1
Reversible vector: 12.15, prob. 11
Riemann sums: 13.9, prob. 7
Riesz (theorem of F. and M.): 15.3, prob.
14
Riesz-Thorin theorem: 13.17, prob. 7
Right-invariant function on a group: 12.9
Rokhlin's theorem: 13.18, prob. 9
Rotational mean: 14.3, prob. 9
Saturation of a set with respect to the action
of a group: 12.10
Scalarly analytic, continuous, differentiable:
12.15
Scalarly integrable: 13.10
Self-adjoint element or subset of an algebra
with involution: 15.4rob. 11